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Finding the Fourth Proportional to 361,433.10, 542,155.32 and 136,898.67

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Solution

The fourth proportional to 361,433.10, 542,155.32 and 136,898.67 is: 205,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,433.10 : 542,155.32 = 136,898.67 : x
  2. Step 2: Convert to fraction form
    361,433.10/542,155.32 = 136,898.67/x
  3. Step 3: Cross multiply
    361,433.10x = 542,155.32 × 136,898.67
  4. Step 4: Simplify right side
    361,433.10x = 74,220,342,241.42
  5. Step 5: Solve for x
    x = 74,220,342,241.42/361,433.10
  6. Step 6: Final answer
    x = 205,350.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.